Consider the following function. r(x) =x5/7, a = 1, n= 3, 0.9 sxs 1.1 (a) Approximate fby a Taylor polynomial with degree n at the number a. T3(X)= 1+ 67(x1) %(x1)2+ 3%3(xl)3 i (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) z T,,(x) when x lies in the given interval. (Round your answer to eight decimal places.) |R3(X)| S 0